Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760l |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-677600000000 = -1 · 211 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11- -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9280,349472] |
[a1,a2,a3,a4,a6] |
Generators |
[74:250:1] |
Generators of the group modulo torsion |
j |
-356696720402/2734375 |
j-invariant |
L |
4.7193801268444 |
L(r)(E,1)/r! |
Ω |
0.91188063624097 |
Real period |
R |
0.32346476745159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33880t1 67760s1 |
Quadratic twists by: -4 -11 |